Question

The difference between two numbers is 1200.The bigger number is three times the value of the smaller number.What is the sum of the two numbers?

Answer 1

$\mathfrak{\large{\underline{\underline{Answer :-}}}}$

The sum of the numbers is 2400.

$\mathfrak{\large{\underline{\underline{Explanation :-}}}}$

Given :

Difference between 2 numbers = 1200

Bigger number is 3 times of smaller number.

To find :

The sum of the numbers

Solution :

Consider the smaller number as x

The bigger number = 3x

⟹ 3x - x = 1200

⟹ 2x = 1200

⟹ x = 1200/2

⟹ x = 600

Value of 3x

⟹ 600 × 3

⟹ 1800

Smaller number = 600

Bigger number = 1800

Their sum =

⟹ 1800 + 600

⟹ 2400

$\therefore$ The sum of the numbers is 2400.

Answer 2

$\bold{\huge{\underline{\underline{Solution-}}}}$

According to the question we know that the difference between two numbers is 1200

and the bigger number is three times the value of the smaller number,

so, Let the smaller number be x

Now according to question the bigger number be 3x

ATQ~

3x - x = 1200

2x = 1200

x = 1200/2

x = 600 ...............(1)

Now, the value of 3x ?

let's put the value of x from the first equation

$\sf \: \: \: \: \: \: \: 3x \\ \sf \: \: \: \: \: \: \: \: \: \downarrow \\ \sf \: 3 \times 600 \: = 1800$

Now, we need to find The sum of Smaller number and bigger number

so, sum of smaller number and bigger number is 600 + 1800

= 2400